All
Use understanding of place value to multiply and divide whole numbers and decimals by 10, 100 or 1000 (Y5)
Explain what each digit represents in whole numbers and decimals with up to two places, and partition, round and order these numbers (Y5)
Use decimal notation for tenths, hundredths and thousandths; partition, round and order decimals with up to three places, and position them on the number line (Y6)
Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage, including calculator use (Y6)
Most
• Record methods, solutions and conclusions
• Understand and use decimal notation and place value; multiply and divide integers and decimals by 10, 100, 1000, and explain the effect
• Compare and order decimals in different contexts; know that when comparing measurements the units must be the same
• Round positive whole numbers to the nearest 10, 100 or 1000, and decimals to the nearest whole number or one decimal place
• Use the order of operations, including brackets
• Strengthen and extend mental methods of calculation to include decimals, fractions and percentages, accompanied where appropriate by suitable jottings; solve simple problems mentally
• Multiply and divide three-digit by two-digit whole numbers; extend to multiplying and dividing decimals with one or two places by single-digit whole numbers
• Check results by considering whether they are of the right order of magnitude and by working problems backwards
Some
• Read and write positive integer powers of 10; multiply and divide integers and decimals by 0.1, 0.01• Order decimals• Round positive numbers to any given power of 10; round decimals to the nearest whole number or to one or two decimal places
• Use the order of operations, including brackets, with more complex calculations
• Make and justify estimates and approximations of calculations
• Strengthen and extend mental methods of calculation, working with decimals, fractions, percentages, squares and square roots, and cubes and cube roots; solve problems mentally
• Use efficient written methods for multiplication and division of integers and decimals, including by decimals such as 0.6 or 0.06; understand where to position the decimal point by considering equivalent calculations
• Select from a range of checking methods, including estimating in context and using inverse operations